Question

Use the image to answer the question.

Four points are plotted on a coordinate plane, and a line is graphed through them. The x-axis is labeled Days and ranges from 0 to 600 in increments of 20. The y-axis is labeled Weight in Pounds and ranges from 250 to 2,500 in increments of 250.
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The first plotted point has coordinates left parenthesis 0 comma 282 right parenthesis. The second plotted point has coordinates left parenthesis 182 comma 737 right parenthesis. The third plotted point has coordinates left parenthesis 365 comma 1,195 right parenthesis. The fourth plotted point has coordinates left parenthesis 547 comma 1,650 right parenthesis.

An elephant calf is born weighing 282 pounds and gains about 2.5 pounds each day for its first year of life. After one year, the calf weighs approximately 1,195 pounds. The graph represents the line of best fit for the data. Using the slope and y-intercept, write an equation for the line of best fit in y=mx+b
form.

(1 point)
Responses

y=25x+282

y equals Start Fraction 2 over 5 End Fraction x plus 282

y=737182x+282

y equals Start Fraction 737 over 182 End Fraction x plus 282

y=52x+282

y equals Start Fraction 5 over 2 End Fraction x plus 282

y=−52x+282

Answer 1

y = (5/2)x + 282

Reason: The calf gains 2.5 pounds/day (slope m = 2.5 = 5/2) and starts at 282 pounds (y-intercept b = 282). This gives y = (5/2)x + 282.